"laced into" is a correct and usable phrase in written English.
It is commonly used to mean "deeply embedded or interwoven within something". For example, "Her argument was laced into the fabric of the conversation".
So far, education advocates have not laced into the governor.
Resewn on three twisted vegetable fiber cores laced into wooden boards.
Kermes pink, braided endbands attached to primary ones sewn on hempen cores laced into boards.
Sewn on three double vegetable fiber cords laced into wooden boards.
Plain wound endbands on alum-tawed cores originally laced into the boards.
Sewn on three supports laced into thick oak boards and wedged.
Plain, wound endbands sewn on tawed cores are laced into the boards from the spine edge.
Sewn and wound on five slit, tawed straps laced into oak boards and pegged or nailed.
Del Potro laced into Federer's return, driving the ball relentlessly to the Federer backhand.
Anxiety over this possibility has been laced into online experience since the beginning.
On Thursday Mr. Romney laced into Mr. Obama for bringing "disappointment and division".
